705453840 has 640 divisors, whose sum is σ = 3103134720. Its totient is φ = 143327232.

The previous prime is 705453817. The next prime is 705453871. The reversal of 705453840 is 48354507.

705453840 is a `hidden beast` number, since 70 + 54 + 538 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 705453795 and 705453804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7272672 + ... + 7272768.

It is an arithmetic number, because the mean of its divisors is an integer number (4848648).

Almost surely, 2^705453840 is an apocalyptic number.

705453840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705453840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551567360).

705453840 is an abundant number, since it is smaller than the sum of its proper divisors (2397680880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

705453840 is a wasteful number, since it uses less digits than its factorization.

705453840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 705453840 is about 26560.3810213634. The cubic root of 705453840 is about 890.2039847214.

The spelling of 705453840 in words is "seven hundred five million, four hundred fifty-three thousand, eight hundred forty".